MATHEMATICS HIGH SCHOOL

At what value of x do the graphs of the equations below intersect?2x – y = 6

5x + 10y = –10

Answers

Answer 1
Answer: The intersection is the point where two equations meet. It is calculated by substituting terms into the equations involved. For the given systems of equation, calculations are as follows:

2x - y = 6
y = 2x - 6

We substitute the equation above to the second equation.

5x + 10y = –10
5x + 10( 2x - 6 )= –10

Simplifying, 

5x + 20x - 60 = -10
25x = 50
x = 2

Therefore, the intersection has the value of x equal to 2.
Answer 2
Answer:

c (2) is the value in where the equations intersect

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Arrange the steps from start to finish to factor this expression using the grouping method.x2 − 5x − 24
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Answers

Answer:

(x + 3)(x - 8)

Step-by-step explanation:

x² - 5x - 24

consider factors of constant term (- 24) which sum to give the coefficient of the x- term (- 5)

the factors are + 3 and - 8

use these factors to split the x- term

= x² + 3x - 8x - 24 ( factor the first/second and third/fourth terms )

= x(x + 3) - 8(x + 3) ← factor out (x + 3) from each term

= (x + 3)(x - 8) ← in factored form

The product of two consecutive positive even integers is 14 more than their sum

Answers

X(x+2)=x+x+2+14
x^2+2x=2x+16
x^2=16
x=4 or x =-4

Answer:

x=4,-4

Step-by-step explanation:

I need help figuring out how to do this.

Answers

SURFACE AREA:i was literally just working on surface area so (15×6=90)×2=180 and then (2.26×15=33.9)×2=67.8 and then (2.26×6=13.56)×2=27.12 and add all of them together to get 274.92

For a certain experiment, the available experimental units are 12 people-six females

Answers

Answer:

Ok

Step-by-step explanation:

6 people are males

6 people are females

Hurry! You work at a campus book store and a customer needs a textbook that you do not have in stock. You can order the textbook from Campus Corner for $129.95, prior to a rebate of $9.00. Books R Us sells the same textbook for $145.00, prior to a discount of 15%. What is the percent difference in the final cost of the two items?

O 0.018%

O 0.019%

O 1.87%

O 1.90%

O 2.10%​

Answers

Answer:

.187

Step-by-step explanation:

Sams credit card balance is less than -$36. Does Sam owe more or less than $36

Answers

He owes more.

He has LESS than -36. So he getting further from zero.

So he could have -40 or something because that's less money than -36.

So because the negative number is bigger than 36, he will owe more than 36.
If his credit card balance is in the negative then he is OWED that amount by the credit card company in order to make his balance Zero.
If he owed that money to the credit card it would be a positive number. Your balance is what you owe to pay it to zero.
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Help photo question. Mathematics. :D